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Finding the Fourth Proportional to 920.67, 1,270.86 and 547.77

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Solution

The fourth proportional to 920.67, 1,270.86 and 547.77 is: 756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.67 : 1,270.86 = 547.77 : x
  2. Step 2: Convert to fraction form
    920.67/1,270.86 = 547.77/x
  3. Step 3: Cross multiply
    920.67x = 1,270.86 × 547.77
  4. Step 4: Simplify right side
    920.67x = 696,138.98
  5. Step 5: Solve for x
    x = 696,138.98/920.67
  6. Step 6: Final answer
    x = 756.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.